UPSC Prelims 2015·CSAT·Quantitative Aptitude·Arithmetic

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful. Which of the following statements is correct?

Dalvoy logo
Reviewed by Dalvoy
UPSC Civil Services preparation
Last updated 23 May 2026, 3:31 pm IST
  1. ASuccess rate is higher for women
  2. BOverall success rate is below 50%
  3. CMore men cleared the examination than womenCorrect
  4. DBoth (A) and (B) above are correct

Explanation

Let's assume a total of 1000 candidates for easy calculation. 1. Initial Distribution: Men: 60% of 1000 = 600 Women: 40% of 1000 = 400 2. Cleared Qualifying Test: Men: 70% of 600 = 420 Women: 75% of 400 = 300 3. Successful in Final Test (Cleared the examination): Men: 80% of 420 = 336 Women: 70% of 300 = 210 Now let's analyze each statement: A) Success rate is higher for women: Success rate for men = (Successful men / Total men) * 100 = (336 / 600) * 100 = 56% Success rate for women = (Successful women / Total women) * 100 = (210 / 400) * 100 = 52.5% Since 56% > 52.5%, the success rate is higher for men, not women. So, A is incorrect. B) Overall success rate is below 50%: Total successful candidates = 336 (men) + 210 (women) = 546 Overall success rate = (Total successful / Total candidates) * 100 = (546 / 1000) * 100 = 54.6% Since 54.6% is not below 50%, B is incorrect. C) More men cleared the examination than women: Men who cleared the examination = 336 Women who cleared the examination = 210 Since 336 > 210, more men cleared the examination than women. So, C is correct. D) Both (A) and (B) above are correct: Since A and B are incorrect, D is incorrect. Therefore, the correct statement is C.
Quantitative Aptitude: Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying

Related questions

More UPSC Prelims practice from the same subject and topic.